Solve the following exercise:
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Solve the following exercise:
To solve this problem, we will follow these steps:
Now, let's work through these steps:
Step 1: The fractions given are and .
Step 2: We choose 8 as the common denominator because it is a multiple of 2.
Step 3: Convert to have a denominator of 8. To do this, multiply both the numerator and the denominator of by 4:
The fractions now are and , both having the common denominator 8.
Step 4: Add the numerators of these fractions:
Therefore, the sum of is .
\( \)\( \frac{4}{5}+\frac{1}{5}= \)
Because fractions don't work that way! means 1 out of 2 equal parts, while means 2 out of 8 equal parts. You need the same sized parts before adding.
Look for the smallest number that both denominators divide into evenly. Since 8 ÷ 2 = 4, we can use 8 as our common denominator. This makes the math easier!
No! You only change fractions that don't already have the common denominator. Here, already has denominator 8, so we leave it alone.
Great question! can be simplified to by dividing both parts by 2. Both answers are correct, but simplified form is usually preferred.
For adding fractions, finding a common denominator is the standard method and usually the fastest. Other shortcuts might work sometimes, but this method works every time!
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